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Finding the Third Proportional to 20,512.50 and 43,198.50

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Solution

The third proportional to 20,512.50 and 43,198.50 is: 90,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.50 : 43,198.50 = 43,198.50 : x
  2. Step 2: Convert to fraction form
    20,512.50/43,198.50 = 43,198.50/x
  3. Step 3: Cross multiply
    20,512.50x = 43,198.50 × 43,198.50
  4. Step 4: Simplify right side
    20,512.50x = 1,866,110,402.25
  5. Step 5: Solve for x
    x = 1,866,110,402.25/20,512.50
  6. Step 6: Final answer
    x = 90,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.